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Finding the Fourth Proportional to 761.80, 1,142.70 and 543.10

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Solution

The fourth proportional to 761.80, 1,142.70 and 543.10 is: 814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.80 : 1,142.70 = 543.10 : x
  2. Step 2: Convert to fraction form
    761.80/1,142.70 = 543.10/x
  3. Step 3: Cross multiply
    761.80x = 1,142.70 × 543.10
  4. Step 4: Simplify right side
    761.80x = 620,600.37
  5. Step 5: Solve for x
    x = 620,600.37/761.80
  6. Step 6: Final answer
    x = 814.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.